Atkin-Lehner |
3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975ci |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-44548466015625 = -1 · 3 · 58 · 113 · 134 |
Discriminant |
Eigenvalues |
1 3- 5- -1 11+ 13- 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5299,285173] |
[a1,a2,a3,a4,a6] |
j |
31658125/85683 |
j-invariant |
L |
3.5909054610089 |
L(r)(E,1)/r! |
Ω |
0.44886318373566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975a1 117975cg1 |
Quadratic twists by: 5 -11 |